2(x+9)=8(x-8)

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Solution for 2(x+9)=8(x-8) equation:


Simplifying
2(x + 9) = 8(x + -8)

Reorder the terms:
2(9 + x) = 8(x + -8)
(9 * 2 + x * 2) = 8(x + -8)
(18 + 2x) = 8(x + -8)

Reorder the terms:
18 + 2x = 8(-8 + x)
18 + 2x = (-8 * 8 + x * 8)
18 + 2x = (-64 + 8x)

Solving
18 + 2x = -64 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
18 + 2x + -8x = -64 + 8x + -8x

Combine like terms: 2x + -8x = -6x
18 + -6x = -64 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -6x = -64 + 0
18 + -6x = -64

Add '-18' to each side of the equation.
18 + -18 + -6x = -64 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = -64 + -18
-6x = -64 + -18

Combine like terms: -64 + -18 = -82
-6x = -82

Divide each side by '-6'.
x = 13.66666667

Simplifying
x = 13.66666667

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